SOLUTION: A temperature of 10�C corresponds to a temperature of 50�F. Also 40�C corresponds to 104�F. Find the linear equation relating F and C.

Question 100763: A temperature of 10�C corresponds to a temperature of 50�F. Also 40�C corresponds to 104�F. Find the linear equation relating F and C.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
We are given:

We can assume we have a grid of C (the x-axis) and F (the y-axis).
So these correspondences can be viewed as xy pairs that define points in the plane: (10,50) and (40,104).
Finding the slope of the line, we have:

The general equation for a line is y = mx + b, so

And, looking back we notice that when x=10, y=50. So we can substitute:

, so
, which is the y-intercept.
Now the equation is
, which is perhaps more familiar by substituting F for y (meaning degrees Farenheit) and C for x (meaning Celsius).
.
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